{
  "id": "1307.0203",
  "version": "v1",
  "published": "2013-06-30T13:51:05.000Z",
  "updated": "2013-06-30T13:51:05.000Z",
  "title": "Wakamatsu-silting complexes",
  "authors": [
    "Jiaqun Wei"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT",
    "math.KT",
    "math.RA"
  ],
  "abstract": "We introduce Wakamatsu-silting complexes (resp., Wakamatsu-tilting complexes) as a common generalization of both silting complexes (resp., tilting complexes) and Wakamatsu-tilting modules. Characterizations of Wakamatsu-silting complexes are given. In particular, we show that a complex $T$ is Wakamatsu-silting if and only if its dual $DT$ is Wakamatsu-silting. It is conjectured that all compact Wakamatsu-silting complexes are just silting complexes. We prove that the conjecture lies under the finitistic dimension conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-30T13:51:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "16E05",
      "18G35",
      "16G10"
    ],
    "keywords": [
      "finitistic dimension conjecture",
      "common generalization",
      "conjecture lies",
      "compact wakamatsu-silting complexes",
      "wakamatsu-tilting modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.0203W"
    }
  }
}